3: Obviously the better choice is to leave the tangent on the top and move the polynomials down. However, note that x2 does not cause any trouble, so it can be evaluated separately. A better choice is therefore
This is an indeterminate ratio and l'Hospital's rule seems the obvious choice. Note that we need not worry about the fact that we do not have clear-cut infinities, we can rely on the more general version of l'Hospital's rule whose assumption is that the denominator in absolute value should go to infinity, which is true here.
In fact, while the above is better, there is still a far better alternative, since the real trouble is not the tangent itself, but only one of its parts. Thus the best solution is
This is again an indeterminate ratio, but the expressions are way friendlier.